Finding the Fourth Proportional to 83,202.97, 114,820.14 and 47,396.35
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Solution
The fourth proportional to 83,202.97, 114,820.14 and 47,396.35 is: 65,406.99
Step by Step Solution
- Step 1: Write the proportion equation
83,202.97 : 114,820.14 = 47,396.35 : x - Step 2: Convert to fraction form
83,202.97/114,820.14 = 47,396.35/x - Step 3: Cross multiply
83,202.97x = 114,820.14 × 47,396.35 - Step 4: Simplify right side
83,202.97x = 5,442,055,542.49 - Step 5: Solve for x
x = 5,442,055,542.49/83,202.97 - Step 6: Final answer
x = 65,406.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.